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# Chi Square 17 October

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### Chi Square 17 October

1. 1. Business Mathematics AFTERSCHOOOL – DEVELOPING CHANGE MAKERS CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME – World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship OPEN FOR ALL FREE FOR ALL www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
2. 2. Business Mathematics Dr. T.K. Jain. AFTERSCHOOOL Centre for social entrepreneurship Bikaner M: 9414430763 tkjainbkn@yahoo.co.in www.afterschool.tk www.afterschoool.tk www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
3. 3. You have 8 routes to go from your home to office. How many choices do you have to go and return (you don’t use same route while returning)? 8*7  =56 (because you don’t use same route  while returning, so choices are not 8 but 7). www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
4. 4. You have 8 routes to go from your home to office. How many choices do you have to go and return (you use same route while returning)? 8 answer  (because you don’t have choice while  returning). www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
5. 5. How many telephone connections can be alloted from 8 numbers – from 0 to 9? You can use a number again and again  – for example a number can be 11111111. Thus you have 10 choices for each of  the 8 digits. Thus 10^8 is the answer.  www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
6. 6. 3 persons have 8 seats for them. In how many ways can they occupy these? 8p3 (because order is important here, so  use permutation). www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
7. 7. How many 4 digit numbers greater than 7000 can be formed out of 3,4,7,8,9? You have 3 choices for first digit (7,8,9)  You have now (5-1) = 4 choices for 2nd  digit, you have 3 choices for 3rd digit, you have 2 choices for 4th digit. Thus : 3*4*3*2 = 72 answer.  www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
8. 8. In how many ways can we arrange 5 books of OB, 3 of Mgmt and 3 of Law, if books of one subject are always together? There are 3 subjects, so we have 3!.  Books of one subject can be  interchanged easily. Thus we have 5!*3! *3! =3!*5!*3!*3! =25920 Answer.  www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
9. 9. In how many ways can we set 10 examination papers so that the best and the worst paper never come together? We have total 10! 1. But best and worst cannot come 2. together, let us treat them as one and find the cases when they come together. Thus we have (10-1)!*2 Remove step 2 from step 1. 3. Answer: 10! – (9!*2)=2903040 4. www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
10. 10. We organise a group discussion at AFTERSCHOOOL, where 15 students participate. Two particular students always sit together. In how many ways can they sit for GD? Two students are always together, so let  us treat them as one. We have 14 students now. (N-1)!. Thus 13 factorial. However, 2  students can exchange seats among themselves, so we have 13! * 2 answer. =12454041600 ans.  www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
11. 11. How many 4 digit words can be made from Mathematics? We have 11 digits.  We have repeatition of A, T, M.  Thus we have 8 digits. We have choices  like all different digits, or 2 common and 2 different digits or 2 pairs. All different : 8p4 = 1680  1 pair and 3 different digits: 3p1 *7p2 =  126 *3! =756 2 pairs from 3 = 3p2 = 6 *3 = 18  Total =2454 answer.  www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
12. 12. How many ways 4 digits may be selected from Mathematics? We have 11 digits.  We have repeatition of A, T, M.  Thus we have 8 digits. We have choices  like all different digits, or 2 common and 2 different digits or 2 pairs. All different : 8c4 = 70  1 pair and 3 different digits: 3c1 *7c2 =63  2 pairs from 3 = 3c2 = 3  Total = 136  www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
13. 13. In how many ways can 9 students sit on a bench to be photographed, if 2 particular students want to sit at corner positions only? Corner positions are occupied, so we  have 7 positions left. We have 7!. The corner positions can be changed. Thus answer is 7! * 2  = 10080 answer.  www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
14. 14. In how many ways can I make a necklace from 9 jewels that I have ? Formulae = (n-1)! / 2  =8!/2  =20160 answer.  www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
15. 15. A boat’s crew consist of 8 men, 3 of whom can row only on one side and 2 only on the other. The number of ways in which the crew can be arranged is ? We have to take equal number of persons on  both the sides of the boat. Thus we have to take 4 persons on each side. We have 4 seats on both sides. Thus we have total 4! Choices on one side, thus total number of choices are 4!*4! (with 3 on one side and 2 on other). However, we have 3 persons who can sit on either side. So let us multiply 576 *3, we get 1728. answer. www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
16. 16. ABOUT AFTERSCHOOOL Afterschoool conducts three year integrated PGPSE (after class 12th along with IAS / CA / CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CMA / FRM. This course is also available online also. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society. www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
17. 17. Why such a programme? To promote people to take up entrepreneurship  and help develop the society To enable people to take up franchising and  other such options to start a business / social development project To enable people to take up social development  as their mission To enable people to promote spirituality and  positive thinking in the world www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
18. 18. Who are our supporters? Afterschoolians, our past beneficiaries,  entrepreneurs and social entrepreneurs are supporting us. You can also support us – not  necessarily by money – but by being promotor of our concept and our ideas. www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
19. 19. About AFTERSCHOOOL PGPSE – the best programme for developing great entrepreneurs Most flexible, adaptive but rigorous programme  Available in distance learning mode  Case study focused- latest cases  Industry oriented practical curriculum  Designed to make you entrepreneurs – not just  an employee Option to take up part time job – so earn while  you learn The only absolutely free course on internet  www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
20. 20. Workshops from AFTERSCHOOOL IIF, Delhi  CIPS, Jaipur  ICSI Hyderabad Branch  Gyan Vihar, Jaipur  Apex Institute of Management, Jaipur  Aravali Institute of Management, Jodhpur  Xavier Institute of Management, Bhubaneshwar  Pacific Institute, Udaipur  Engineering College, Hyderabad  www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
21. 21. Flexible Specialisations: Spiritualising business and society  Rural development and transformation  HRD and Education, Social Development  NGO and voluntary work  Investment analysis,microfinance and inclusion  Retail sector, BPO, KPO  Accounting & Information system (with CA / CS /CMA)  Hospital management and Health care  Hospitality sector and culture and heritage  Other sectors of high growth, high technology and social  relevance www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
22. 22. Salient features: The only programme of its kind (in the whole world)   No publicity and low profile course  For those who want to achieve success in life – not just a degree  Indepth knowledge and expertise  Professional approac: World class approach  Strong intellectual and business capabilities  Flexible – you may stay for a month and continue the rest of the education by distance mode. / you may attend weekend classes  Scholarships for those from poor economic background  Latest and constantly changing curriculum – keeping pace with the time  Placement for those who are interested  Admissions open throughout the year  Latest and most advanced technologies, books and study material www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
23. 23. Components Pedagogy curriculum and approach based on IIM Ahmedabad and ISB  Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad) Meditation, spiritualisation, and self development  Essential softwares for business  Business plan, Research projects  Participation in conferences / seminars  Workshops on leadership, team building etc.  Written submissions of research projects/articles / papers  Interview of entrepreneurs, writing biographies of entrepreneurs  Editing of journals / newsletters  Consultancy / research projects  Assignments, communication skill workshops  Participation in conferences and seminars  Group discussions, mock interviews, self development diaryng  Mind Power Training & writing workshop (by Dr. T.K.Jain)  www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
24. 24. Pedagogy Case analysis,  Articles from Harvard Business Review  Quiz, seminars, workshops, games,  Visits to entrepreneurs and industrial visits  Presentations, Latest audio-visuals  Group discussions and group projects  Periodic self assessment  Mentoring and counselling  Study exchange programme (with institutions out of India)  Rural development / Social welfare projects  www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
25. 25. Branches AFTERSCHOOOL will shortly open its  branches in important cities in India including Delhi, Kota, Mumbai, Gurgaon and other important cities. Afterschooolians will be responsible for managing and developing these branches – and for promoting social entrepreneurs. www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
26. 26. Case Studies We want to write case studies on social  entrepreneurs, first generation entrepreneurs, ethical entrepreneurs. Please help us in this process. Help us to be in touch with entrepreneurs, so that we may develop entrepreneurs. www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
27. 27. Basic values at afterschoool Share to learn more  Interact to develop yourself  Fear is your worst enemy  Make mistakes to learn  Study & discuss in a group  Criticism is the healthy route to mutual support  and help Ask fundamental questions : why, when, how &  where? Embrace change – and compete with yourself  only www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS
28. 28. www.afterschoool.tk social entrepreneurship for better society www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS